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Stockholders' Equity and Stock Compensation Plans (Details) - USD ($)
$ / shares in Units, $ in Millions
3 Months Ended
Dec. 31, 2017
Jan. 01, 2017
Stockholders' Equity and Stock Compensation Plans    
Stock-based compensation expense $ 4.0 $ 3.2
Non-employee directors and executive officers    
Stockholders' Equity and Stock Compensation Plans    
Options granted (in shares) 170,222  
Exercise price of stock options granted (in dollars per share) $ 47.95  
Weighted-average fair value of stock options granted (in dollars per share) $ 14.79  
Stock options | Executive officers    
Stockholders' Equity and Stock Compensation Plans    
Vesting period 4 years  
Stock options | Non-employee director    
Stockholders' Equity and Stock Compensation Plans    
Vesting period 1 year  
Performance-based restricted stock    
Stockholders' Equity and Stock Compensation Plans    
Percentage of shares that ultimately vest depending on growth in diluted earnings per share 50.00%  
Percentage of shares that ultimately vest depending on the shareholder return relative to peer group of companies over vesting period 50.00%  
Performance-based restricted stock | Non-employee directors and executive officers    
Stockholders' Equity and Stock Compensation Plans    
Vesting period 3 years  
Granted (in shares) 98,599  
Granted, fair value (in dollars per share) $ 56.10  
Restricted stock units | Non-employee directors, executive officers and employees    
Stockholders' Equity and Stock Compensation Plans    
Granted (in shares) 185,651  
Granted, fair value (in dollars per share) $ 47.95  
Restricted stock units | Non-employee director    
Stockholders' Equity and Stock Compensation Plans    
Vesting period 1 year  
Restricted stock units | Executive officers and employees    
Stockholders' Equity and Stock Compensation Plans    
Vesting period 4 years